Zobrazeno 1 - 10
of 124
pro vyhledávání: '"positive radial solution"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 15190-15201 (2024)
We consider semilinear elliptic equations of the form $ \Delta u + f(|x|, u) = 0 $ on $ {\mathbb{R}}^{N} $ with $ f(|x|, u) = q(|x|)g(u) $. These type of equations arise in various problems in applied mathematics, and particularly in the study of pop
Externí odkaz:
https://doaj.org/article/24eeffc4637c4d04be78942e57614dea
Publikováno v:
Electronic Research Archive, Vol 31, Iss 5, Pp 2472-2482 (2023)
This paper consider that the following semilinear elliptic equation $ \begin{equation} \left\{ \begin{array}{ll} -\Delta u = u^{q(x)-1}, &\ \ {\mbox{in}}\ \ B_1,\\ u>0, &\ \ {\mbox{in}}\ \ B_1,\\ u = 0, &\ \ {\mbox{in}}\ \ \partial B_1, \end{array
Externí odkaz:
https://doaj.org/article/b751ec87adcd4e28882c29793d427084
Autor:
Abraham" Abebe, Maya Chhetri
Publikováno v:
Electronic Journal of Differential Equations, Vol Special Issues, Iss 02, Pp 1-10 (2023)
Externí odkaz:
https://doaj.org/article/600d9b22d3d2429cae809912188830dd
Publikováno v:
AIMS Mathematics, Vol 8, Iss 1, Pp 1072-1089 (2023)
In this paper we use the fixed point index theory to study the existence of positive radial solutions for a system of boundary value problems with semipositone second order elliptic equations. Some appropriate concave and convex functions are utilize
Externí odkaz:
https://doaj.org/article/6a8cd9cfb76148f2b429472c3da0e617
Publikováno v:
Opuscula Mathematica, Vol 43, Iss 1, Pp 47-66 (2022)
In this paper the authors study the existence of positive radial solutions to the Kirchhoff type problem involving the \(p\)-Laplacian \[-\Big(a+b\int_{\Omega_e}|\nabla u|^p dx\Big)\Delta_p u=\lambda f\left(|x|,u\right),\ x\in \Omega_e,\quad u=0\ \te
Externí odkaz:
https://doaj.org/article/26a537f81a9e43249451d1be6e131028
Publikováno v:
Boundary Value Problems, Vol 2021, Iss 1, Pp 1-9 (2021)
Abstract We study the Dirichlet problem for the prescribed mean curvature equation in Minkowski space { M ( u ) + v α = 0 in B , M ( v ) + u β = 0 in B , u | ∂ B = v | ∂ B = 0 , $$ \textstyle\begin{cases} \mathcal{M}(u)+ v^{\alpha }=0\quad \tex
Externí odkaz:
https://doaj.org/article/98a5f53631bd4b9e8eaa9e8004cb510e
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Yongxiang Li, Mei Wei
Publikováno v:
AIMS Mathematics, Vol 6, Iss 8, Pp 8949-8958 (2021)
This paper deals with the existence of positive radial solutions of the $ p $-Laplace equation $ \left\{\begin{array}{ll} -\Delta_p\,u= K(|x|)\,f(u)\,,\quad x\in\Omega\,,\qquad\qquad\\[6pt] \frac{\partial u}{\partial n}=0\,,\qquad x\in\partial\O
Externí odkaz:
https://doaj.org/article/77aae488ef004429949ff6aab868730a
Autor:
Zhiqian He, Liangying Miao
Publikováno v:
AIMS Mathematics, Vol 6, Iss 6, Pp 6171-6179 (2021)
In this paper, we are considered with the Dirichlet problem of quasilinear differential system with mean curvature operator in Minkowski space $ \mathcal{M}(w): = \text{div}\Big(\frac{\nabla w}{\sqrt{1-|\nabla w|^2}}\Big), $ in a ball in $ \mat
Externí odkaz:
https://doaj.org/article/9d87d747b0db4a03abcce70e4796b839
Publikováno v:
Boundary Value Problems, Vol 2020, Iss 1, Pp 1-29 (2020)
Abstract We consider the following coupled fractional Schrödinger system: { ( − Δ ) s u + λ 1 u = μ 1 | u | 2 p − 2 u + β | v | p | u | p − 2 u , ( − Δ ) s v + λ 2 v = μ 2 | v | 2 p − 2 v + β | u | p | v | p − 2 v in R N , $$ \te
Externí odkaz:
https://doaj.org/article/819c79d5e8ef4ac2acd130ba9612f5e8